Historical PerspectiveLatest developments in nanofluid flow and heat transfer between parallel surfaces: A critical review
Graphical abstract
Introduction
Fluids play a significant role in numerous industrial processes as heat carriers. The flow and heat transfer characteristics of fluids in thermal systems, ranging from car radiators to nuclear reactors, determine the performance of such systems. The performance of a thermal system can be improved through the enhancement of heat transfer. Heat transfer enhancement can result in more compact thermal equipment which saves energy and space and minimizes cost (Fig. 1). Various approaches classified as active and passive are widely used to improve heat transfer in many applications (Fig. 2). “Active” corresponds to the cases where an external power (force) is used for heat transfer enhancement, such as applying a magnetic field or creating vibration on the surface of a thermal device. On the other hand, “passive” represents techniques in which there is no external driver, such as extended surfaces (fins) and turbulators, for the increase of heat transfer. Using nanofluids instead of conventional liquids in thermal systems is also a passive technique for heat transfer improvement.
One of the major limitations in heat transfer applications is the low thermal conductivity of conventional working liquids such as water, ethylene glycol (EG), and engine oil (EO). In recent years, nanofluids with a superior thermal conductivity compared to those of these base liquids have been introduced for improving the heat transfer performance in various applications [[1], [2], [3], [4], [5], [6]]. Solid nanoparticles with various atomic structures have been used as additives to base liquids. The selection of nanoparticle type depends on the particular application as well as economic considerations.
In the literature, there are a number of review articles on nanofluids. For example, Ganvir et al. [7], Solangi et al. [8], and Suganthi and Rajan [9] summarized the studies performed on the thermophysical properties of nanofluids. Lomascolo et al. [10] presented a review of the recent experimental research on the conductive, convective, and radiative heat transfer in nanofluids. Considering the heat transfer in nanofluid flows, Hussein et al. [11] concentrated on the improvement of forced convection heat transfer using nanofluids, Haddad et al. [12] summarized the research on the natural convection heat transfer of nanofluids, and Pinto and Fiorelli [13] discussed the mechanisms responsible for improved heat transfer. In addition, Mahian et al. [14,15] reviewed recent developments in simulation methods and applications of nanofluid flows and discussed the challenges in the field.
There are also some reviews on modeling and simulation of nanofluid flows and heat transfer using different CFD approaches [16], numerical and semi-analytical approaches [17], and traditional and novel approaches such as single-phase effective media, Lattice Boltzmann methods, Eulerian-Lagrangian methods, mixture models, and thermal dispersion [18].
The most important thermophysical properties of nanofluids are thermal conductivity and dynamic viscosity [[19], [20], [21], [22], [23]]. The increased thermal conductivity of a nanofluid enhances the heat transfer rate, and the increase of dynamic viscosity intensifies the friction of fluid, thus demanding a higher pumping power. In this regard, a series of investigations were performed on the improvement of the thermal conductivity of nanofluids. Younes et al. [24] summarized the recent publications regarding the dispersion of nanoparticles to the base fluid to augment the thermal conductivity of nanofluids. Tawfik [25] presented a summary of experimental studies performed on the improvement of thermal conductivity of nanofluids and discussed the effects of nanoparticle size, shape, and concentration, as well as base fluid type and temperature. Aybar et al. [26] described the mechanisms of thermal conductivity enhancement of nanofluids and summarized the models proposed in the literature. Regarding the rheological characteristics of nanofluids [27], the relevant experimental measurements [28] and the proposed dynamic viscosity models [29] were described. Azmi et al. [30] presented a comprehensive review of the research progress on improvement of the effective dynamic viscosity and effective thermal conductivity of nanofluids.
The hydrothermal performance of nanofluids in different industrial applications has also been reviewed. Kasaeian et al. [31] reviewed the recent application of nanofluids in porous media for thermal system applications. They described the effects of porosity, inertial coefficient, and permeability of porous media along with the influences of nanofluid parameters on the flow and heat transfer characteristics. Mahian et al. [32] and Kasaeian et al. [33] reviewed the influence of using nanofluids on the performance of solar water heaters, solar collectors, solar stills, solar cells, and thermal energy storage from environmental and economic points of view. In addition, they described the difficulties in utilizing nanofluids in solar energy systems. The application of nanofluids in heat exchangers [34] has been studied along with their behavior subject to magnetic fields in [35,36]. Amani et al. [37] presented a review of the influence of nanoparticles on the mass transfer performance and hydrodynamic behavior of liquid–liquid systems.
In recent years, many reviews of forced convection of nanofluid flows in tubes or natural convection in square and rectangular cavities have been published. However, only a few reviews in the literature were concerned with the evaluation of the flow and heat transfer of nanofluids in annuli. Togun et al. [38] reviewed the studies conducted on the heat transfer of fluids and nanofluids in various annular passages, including triangular, square, rectangular, elliptical, and circular configurations. Dawood et al. [39] summarized the investigations performed on the heat transfer analysis of fluids and nanofluids in concentric and eccentric annuli. Ahmed et al. [40] provided an overview of the thermal characteristics as well as applications of fluids and nanofluids in annuli.
Despite the extensive literature cited above, there is no review article that focuses on the thermal performance of nanofluid flow between parallel surfaces. Thus, in this paper, a comprehensive review is conducted on the hydrodynamic and thermal characteristics of nanofluids between parallel surfaces. The flow between parallel surfaces can be found in various types of heat exchangers that are used in different industries. The flow between parallel surfaces are classified into three groups as follows:
- (I)
Nanofluid flow between parallel plates/disks. Heat and fluid flow between two parallel plates/disks occur in many engineering applications such as cooling towers, micro-sized cooling systems, food processing, chemical processing equipment, lubrication systems, polymer processing, preparation, fog dispersion, and hydro-dynamical machines [40].
- (II)
Nanofluid squeezing film flow between parallel plates/disks. Recently, squeezing film flows between parallel plates/disks have been used extensively in engineering applications such as lubrication systems (e.g., load-bearing systems and flow of oil in bearings), compression and injection shaping, and food and polymer industries [41].
- (III)
Nanofluid flow through an annulus. Flow in a concentric annulus appears in cooling systems (e.g., electrical gas-insulated transmission lines and thermal insulations), thermal storage systems, and heat exchangers [42].
Due to a large number of investigations on the flow and heat transfer of different types of nanofluids between parallel surfaces, in this review, various sections are devoted to summarizing the effects of nanoparticle concentration, particle migration, magnetic field application, nanoparticle shape or type, different dimensionless numbers, slip velocity, presence of suction or blowing, a heat source or heat sink, use of non-Newtonian nanofluids, porous media, thermal radiation, rotating systems, heat flux ratio, radius ratio, and inclination angle on the heat transfer behavior of nanofluids. Fig. 3 schematically illustrates the aim of the present study. The present review paper mainly concerns the recent advances in these areas.
Section snippets
Mathematical formulation
The hydrodynamic and thermal performance of nanofluids between parallel surfaces are reviewed on the basis of different physical characteristics. The available literature suggests that the important configurations of the nanofluid flow between parallel surfaces are a) the flow between parallel plates, b) the squeezing flow between parallel plates, and c) the flow through concentric annuli.
An important group of studies of nanofluid flows between parallel surfaces investigates nanofluid flows
Effect of nanoparticle concentration
Various researchers have discussed the effect of nanoparticle concentration on the velocity profile of nanofluids between parallel plates [[56], [57], [58], [59]]. Evaluation of velocity distribution along the y-direction for nanofluid flows revealed that velocities decrease with an increment in the nanoparticle content [57,59] as a result of an increase in the viscosity of the nanofluid. The maximum value of the velocity was seen in the central portion of the channel [57,60]. For the velocity
Effect of particle migration
It is known that in nanofluids the main slip mechanisms are Brownian motion and thermophoresis because of the extremely small size of nanoparticles. The Brownian motion is generated by the random movement of suspended particles due to the imbalance impacts of fluid molecules. The Brownian motion leads to a net mean mass flux, which is proportional to the concentration gradient of nanoparticles. Indeed, the Brownian motion tends to a uniform distribution of nanoparticles in the liquid.
The
Effect of applying magnetic fields
The influence of imposing magnetic fields on fluid behavior is of fundamental importance since it is the basis of various devices such as optical switches [115], cancer therapy and tumor elimination with hyperthermia [116], sterilizing devices [117], oil recovery from the underground reservoirs [118], bearings [119], generators [120], magnetohydrodynamic pumps [121], and so on. A typical illustration of an electrically conducting nanofluid flow between two parallel plates subject to a magnetic
Effect of nanoparticle shape or type
Since the thermophysical properties of different types of nanoparticles are different, the use of various types of nanoparticles leads to different outcomes. Table 1 illustrates the types of nanoparticles employed for the nanofluid flow between parallel surfaces. For instance, considering the work of several groups of researchers [68,[75], [76], [77], [78]] focusing on the unsteady squeezing flow of different types of nanofluids consisting of GO, Cu, Ag, Al2O3, TiO2, and SiO2 nanoparticles
Effect of different dimensionless numbers
In the nondimensional form of governing equations, the impact of various physical processes can be represented by nondimensional numbers or parameters. The exact definition of each nondimensional parameter involves geometrical aspects of the problem and the reference values of parameters. Generally, the Nusselt number denotes the ratio of convective heat transfer to conduction heat transfer, and it is the most important parameter for the study of convective heat transfer. The Reynolds number is
Effect of slip velocity
In problems of small sizes, such as micro/nanoscale sizes, depending on fluid properties and the interfacial roughness, the ‘no-slip boundary condition’ may no longer exist [89]. Thus, it is important to define and consider the slip velocity and slip boundary conditions. In this regard, the slip parameter (λ) is introduced, corresponding to the slip velocity at the surface. Accordingly, higher λ signifies higher slip velocity near walls [89]. The slip velocity on solid surfaces is obtained from
Problems with suction or blowing
The influence of the suction parameter (A) on the hydrothermal analysis of nanofluids between parallel permeable plates is another area that has received attention from researchers. The suction parameter plays a vital role in evaluating problems with suction or blowing and is evaluated in Eq. (18) [135]. In these problems, the suction parameter generally describes two important cases: blowing (A < 0) and suction (A > 0). In such problems, the lower plate is considered to be a stretching sheet,
Presence of a heat source or heat sink
The heat source/sink impacts in convective heat transfer are of noticeable importance where a great temperature difference may occur between the fluid and the surface. The presence of a heat source/sink also occurs in the context of endothermic and exothermic chemical reactions. Heat absorption or generation might vary the temperature distribution in a nanofluid and can influence the particle deposition rate in systems, including nuclear reactors, semiconductors, and electronic devices.
Employing non-Newtonian nanofluids
Several studies have reported that adding nanoparticles to Newtonian liquids at relatively high concentrations converts them to non-Newtonian fluids. In other words, nanoparticles can cause a nonlinear relationship between shear stress and strain rate. However, another group of non-Newtonian nanofluids demonstrates non-Newtonian behavior because their base fluids are non-Newtonian. Due to the considerable importance of non-Newtonian nanofluids, some studies have assessed their characteristics
Employing advanced nanofluids
Recently some researchers have used advanced nanofluids, including hybrid nanofluids or CNT-based nanofluids, in applications involving flows between parallel plates. Tayebi et al. [174] conducted a numerical simulation using the finite volume method for a Cu-Al2O3/water hybrid nanofluid flow in an annulus. They explored the effects of the particle content, the Ra number, and the internal heat generation or absorption parameter on the thermohydraulic features and entropy production. The
Problems including porous media
The impact of porosity is a major area that has received remarkable attention regarding the flow and heat transfer of nanofluids between parallel surfaces. In porous media, the increasing random motion of fluid through the solid matrix leads to an increase in flow mixing and a pressure drop. The former is desirable, and the latter is unfavorable from a hydrothermal viewpoint [179]. Moreover, it is observed that the positive and negative impacts of a nanofluid on heat transfer and a pressure
Effect of considering thermal radiation
For evaluating the effect of thermal radiation on nanofluids' flow and heat transfer, a radiation parameter (Rd) is represented as follows [54]:
Milani Shirvan et al. [54] considered the effect of surface radiation and studied the mixed convection heat transfer of an Al2O3/water nanofluid in a solar heat exchanger having parallel surfaces by the mixture model. According to their results, the Nu number and pressure drop were directly proportional to the Richardson number and the
Effects of rotation
Many researchers evaluated the characteristics of nanofluid flowing between two parallel surfaces when the plates and the fluid rotate together with angular velocity Ω around an axis that is perpendicular to the plates' surface. The rotation parameter (Kr) plays a vital role in evaluating the problems considering the rotating system and is evaluated in Eq. (22) [50].
Investigations into the velocity variation of nanofluids' flow between parallel plates reveal that as the Kr parameter
Using advanced methods
For analyzing nanofluid flows between parallel plates and in annuli, some investigators have used more advanced methods, including the two-phase flow analysis. Yekani Motlagh et al. [184] studied the natural convective flow of a nanofluid in a porous semi-annulus cavity via a two-phase flow model. The enclosure was filled with a Fe3O4–H2O nanofluid (see Fig. 20). Due to the thermophoresis effects, the particle distribution near the outside cylinder with a constant temperature boundary condition
Effects of heat flux ratio, radius ratio, and inclination angle in annuli
The heat flux ratio (ε = qi"/qo"), radius ratio (ζ = ri/ro), and inclination angle are three important parameters affecting the hydrothermal characteristics of nanofluids in annuli. Contrary to the circular tubes, in which the heat transfer coefficient is independent of the heat flux, the heat transfer coefficient of annuli is significantly dependent on the heat flux ratio [149]. The nanofluid near the inner wall becomes locally concentrated for ε < 1, resulting in a reduced local heat
Concluding remarks and future directions for research
The flow between parallel surfaces has many applications in thermal systems. Also, it has been established that nanofluids as new working fluids have the potential to enhance thermal systems' performance. The present review article dealt with the flow between parallel surfaces where a nanofluid is the working fluid. Researchers in the majority of works considered the forced convection laminar flow of nanofluids through horizontal parallel surfaces and used a single-phase simulation for
Declaration of Competing Interest
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